Definition 3.3 [1]}
Given \(\mathcal {A}= (a_{i_1 i_2 ... i_m}) \in T_{m,n} \)  and \(q\in \mathbb {R}^n\) , TCP\((q,\mathcal {A})\)  defined by (REF ) is said to be solvable if there is a feasible vector \(x\in \mathbb {R}^n\)  satisfying \(x^{T}(\mathcal {A}x^{m-1}+q)=0\)  and \(x\)  is a solution of the TCP\((q,\mathcal {A})\) . The solution set of TCP\((q,\mathcal {A})\)  is denoted by SOL\((q,\mathcal {A}) = \lbrace x \in \mbox{FEA}(q,\mathcal {A}) : x^{T}(\mathcal {A}x^{m-1}+q)=0\rbrace .\)

